Question

Which statement is true about this data set? {43, 46, 48, 57, 42, 47, 48, 44, 46, 45, 48}

Answer 1

Answer: D) 57

Step-by-step explanation:

Answer 2

Answer:

Option D.

Step-by-step explanation:

The given data set is

43, 46, 48, 57, 42, 47, 48, 44, 46, 45, 48

Arrange the data in ascending order.

42, 43, 44, 45, 46, 46, 47, 48, 48, 48, 57

Divide the data in 4 equal parts.

(42, 43), 44, (45, 46), 46, (47, 48), 48, (48, 57)

$Q_1=44, Median=46, Q_3=48$

The interquartile rage is

$IQR=Q_3-Q_1$

$IQR=48-44=4$

Lower fence:

$Q_1-1.5(IQR)=44-1.5(4)=38$

Upper fence:

$Q_3+1.5(IQR)=48+1.5(4)=54$

If the data lie outside the lower and upper fence, then that element is known as outliers.

$57\notin[38,54]$

57 is an outlier because it is greater than the upper fence.

Therefore, the correct option is D.